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Censoring and Truncation Mechanisms

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Reliability and Survival Analysis

Abstract

Censoring and truncation are the special types of characteristics of time to event data. A censored observation arises when the value of the random variable of interest is not known exactly, that is, only partial information about the value is known. In the case of truncation, some of the subjects may be dropped from the study due to the implementation of some conditions such that their presence or existence cannot be known. In other words, the truncated subjects are subjects to screening by some conditions as an integral part of the study. This chapter presents the maximum likelihood estimation method for analyzing the censored and truncated data.

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References

  • Balakrishnan N, Mitra D (2011) Likelihood inference for lognormal data with left truncation and right censoring with an illustration. J Stat Plan Infer 141:3536–3553

    Article  MathSciNet  Google Scholar 

  • Balakrishnan N, Mitra D (2012) Left truncated and right censored Weibull data and likelihood inference with an illustration. Comput Stat Data Anal 56:4011–4025

    Article  MathSciNet  Google Scholar 

  • Balakrishnan N, Mitra D (2013) Likelihood inference based on left truncated and right censored data from a gamma distribution. IEEE Trans Reliab 62:679–688

    Article  Google Scholar 

  • Balakrishnan N, Mitra D (2014) Some further issues concerning likelihood inference for left truncated and right censored lognormal data. Commun Stat Simul Comput 43:400–416

    Article  MathSciNet  Google Scholar 

  • Hong Y, Meeker WQ, McCalley JD (2009) Prediction of remaining life of power transformers based on left truncated and right censored lifetime data. Ann Appl Stat 3:857–879

    Article  MathSciNet  Google Scholar 

  • Islam MA, Al-Shiha A (2018) Foundations of biostatistics. Springer Nature Singapore Pte Ltd

    Google Scholar 

  • Klein JP, Moeschberger ML (2003) Survival analysis: techniques for censored and truncated data, 2nd edn. Springer, New York

    MATH  Google Scholar 

  • Lawless JF (1982) Statistical models and methods for lifetime data. Wiley, New Jersey

    MATH  Google Scholar 

  • Lawless JF (2003) Statistical models and methods for lifetime data, 2nd edn. Wiley, New Jersey

    MATH  Google Scholar 

  • Miller RG Jr (1981) Survival analysis. Wiley, New York

    Google Scholar 

  • Odell PM, Anderson KM, D’Agostino RB (1992) Maximum likelihood estimation for interval-censored data using a Weibull-based accelerated failure time model. Biometrics 48(3):951–959

    Article  Google Scholar 

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Correspondence to Md. Rezaul Karim .

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Karim, M.R., Islam, M.A. (2019). Censoring and Truncation Mechanisms. In: Reliability and Survival Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-9776-9_4

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